6897730400 has 144 divisors (see below), whose sum is σ = 18645681600. Its totient is φ = 2470617600.

The previous prime is 6897730391. The next prime is 6897730409. The reversal of 6897730400 is 40377986.

It is an interprime number because it is at equal distance from previous prime (6897730391) and next prime (6897730409).

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6897730409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 583751 + ... + 595449.

It is an arithmetic number, because the mean of its divisors is an integer number (129483900).

Almost surely, 2^6897730400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6897730400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9322840800).

6897730400 is an abundant number, since it is smaller than the sum of its proper divisors (11747951200).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6897730400 is a wasteful number, since it uses less digits than its factorization.

6897730400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11797 (or 11784 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 44.

The square root of 6897730400 is about 83052.5761189862. The cubic root of 6897730400 is about 1903.5695040418.

The spelling of 6897730400 in words is "six billion, eight hundred ninety-seven million, seven hundred thirty thousand, four hundred".